Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions

Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions

Oertel, Frank

Springer International Publishing AG

07/2024

210

Mole

9783031572005

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- Introduction and motivation.- Complex Gaussian random vectors and their probability law.- A quantum correlation matrix version of the Grothendieck inequality.- Powers of inner products of random vectors, uniformly distributed on the sphere.- Completely correlation preserving functions.- The real case: towards extending Krivine's approach.- The complex case: towards extending Haagerup's approach.- A summary scheme of the main result.- Concluding remarks and open problems.- References.- Index.
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Grothendieck Inequality;Grothendieck Constants;Completely Correlation Preserving Functions;Schoenberg's Theorem;Gamma Function;Hermite Polynomials;Gaussian Hypergeometric Function;Taylor Series Inversion